22120630645344 has 384 divisors, whose sum is σ = 76221753753600. Its totient is φ = 5442023854080.

The previous prime is 22120630645271. The next prime is 22120630645357. The reversal of 22120630645344 is 44354603602122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 22120630645296 and 22120630645305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759387772 + ... + 759416900.

It is an arithmetic number, because the mean of its divisors is an integer number (198494150400).

Almost surely, 2^{22120630645344} is an apocalyptic number.

22120630645344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120630645344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38110876876800).

22120630645344 is an abundant number, since it is smaller than the sum of its proper divisors (54101123108256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22120630645344 is a wasteful number, since it uses less digits than its factorization.

22120630645344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34586 (or 34578 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 22120630645344 in words is "twenty-two trillion, one hundred twenty billion, six hundred thirty million, six hundred forty-five thousand, three hundred forty-four".